Skip to main content
SpringerLink
Log in

The Electronic Band Structure of Penrose Lattices: A Renormalization Approach

  • Conference paper
Surface Science

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 62))

  • 311 Accesses

Abstract

The electronic band structure of two-dimensional Penrose lattices is analyzed by means of a novel renormalization method. This method allows one to calculate, in exact form, the local density of states on large clusters, with a tight-binding Hamiltonian. The results show the fractal structure of the spectrum. The method should be useful for the analysis of dynamical properties of Penrose lattices.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Todd et al.: Phys. Rev. Lett. 57, 1157 (1986)

    Article  CAS  Google Scholar 

  2. D. Shechtman et al.: Phys. Rev. Lett. 53, 1951 (1984)

    Article  CAS  Google Scholar 

  3. R. Penrose: Bull. Inst. Math. Appl. 10, 266 (1974)

    Google Scholar 

  4. M. ICohmoto, B. Sutherland: Phys. Rev. Lett. 56, 2740 (1986)

    Google Scholar 

  5. P. Ma, Y. Liu: Phys. Rev. B 39, 9904 (1989)

    Article  Google Scholar 

  6. F. Aguilera-Granja et al.: Phys. Rev. B 36, 7342 (1987)

    Article  Google Scholar 

  7. R. Robinson: University of California preprint (1975), unpublished

    Google Scholar 

  8. R.A. Barrio, Chumin Wang: In Quasicrystal and Incommensurate Structures in Condensed Matter, ed. by M. José Yacamán et al. (World Scientific, Singapore 1990), p. 448

    Google Scholar 

  9. Chumin Wang and R.A. Barrio: To be published

    Google Scholar 

  10. Chumin Wang, O. Navarro, R.A. Barrio: To be presented at the MRS 1990 Fall Meeting

    Google Scholar 

  11. Chumin Wang, R.A. Barrio: Phys. Rev. Lett. 61, 191 (1988)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Apdo. Postal 70-360, 04510, México, D.F., Mexico

    Chumin Wang

  2. Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, 01000, México, D.F., Mexico

    R. A. Barrio

Authors
  1. Chumin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. A. Barrio
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Xerox Corp., Palo Alto Research Center, 3333 Coyote Hill Road, 94304, Palo Alto, CA, USA

    Fernando A. Ponce

  2. Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, W-7000, Stuttgart 80, Fed. Rep. of Germany

    Manuel Cardona

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, C., Barrio, R.A. (1992). The Electronic Band Structure of Penrose Lattices: A Renormalization Approach. In: Ponce, F.A., Cardona, M. (eds) Surface Science. Springer Proceedings in Physics, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76376-2_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-76376-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76378-6

  • Online ISBN: 978-3-642-76376-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation